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Finding the Fourth Proportional to 8,057.54, 12,086.86 and 2,214.12

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Solution

The fourth proportional to 8,057.54, 12,086.86 and 2,214.12 is: 3,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.54 : 12,086.86 = 2,214.12 : x
  2. Step 2: Convert to fraction form
    8,057.54/12,086.86 = 2,214.12/x
  3. Step 3: Cross multiply
    8,057.54x = 12,086.86 × 2,214.12
  4. Step 4: Simplify right side
    8,057.54x = 26,761,758.46
  5. Step 5: Solve for x
    x = 26,761,758.46/8,057.54
  6. Step 6: Final answer
    x = 3,321.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.